As the unit say force per length, this is the division of force in the entire length when we have, this is actually the force which is applied on the particular length. The concept of unit per length is given by AMPERE’s LAW.

according to ampere law, when we consider two wires which carry current in them, in this situation both the current carrying conductor attract each other magnetically, consider that first wire is 1 and it has current l1 and this current is responsible for the magnetic force which is equal to B1, there force the wire 2 experiences a force due to the magnetic field which is created by the l1, and this force can be denoted as F12. The best thing about ampere law is that it is used to define the unit of current.

## Force per Length Converter

In accordance with the above example, we can consider that the force of attraction between two current carrying conductor, it may is repulsive or it may be attractive. This is termed as ampere law. This law is the origin of **force per length.**

In order to get a clear idea about what is force per length is consider the following example.

- the force per meter length between the two conductors which carry current and are parallel to each other and are placed 1 m apart and the amount of current which they are carrying is equal to 2 x 10E-7 N/m.
- This is the standard definition, which is used to define ampere.

The definition of the ampere is considered as one of the best examples when we need to understand what force per length is?

According to this formula, the force per length between two straight wires can be considered using this formula.

F/L= 2Ka. I1.I2/T here in this formula, Ka is considered as the constant for the magnetic force and this comes from **Biot-Savert law.** The force per length or (f/l) is the unit of force per length which is experienced by the wire which is taken into consideration. Further here i1 and i2 are the current which is flowing in these wires. Here one assumption is taken, we consider r as the distance between the two wires, but we have considered the wire to be infinitely long. The distance between the two wires is neglected since this is very small when we compare it with the length of the wires.

Here when we talk about Ka, then the value of Ka will depend on which unit we are considering just for the case,

Ka = U/4pi, here u is the magnetic constant which is equal to 4pi X 10E-7 N/AxA.

- In addition to this force per length is the unit for tension and stress, mainly force per length is the unit when we consider the force being divided per length.
- force per length is one of the most important physical units which has industrial applications too.